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| Section | Weight | Objectives |
|---|---|---|
| Exponents, Radicals, and Quadratic Relationships | 15% | - Properties of exponents - Basic quadratic graphs - Solving quadratic equations - Simplifying radical expressions |
| Algebraic Expressions and Operations | 20% | - Order of operations - Simplifying and evaluating expressions - Operations with polynomials - Variables, constants, and coefficients |
| Systems of Equations and Inequalities | 15% | - Applications of systems - Solving by substitution and elimination - Graphical solutions |
| Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Real-world applications - Solving single-variable equations |
| Graphing and Functions | 25% | - Linear functions and their graphs - Function notation and evaluation - Coordinate plane and plotting points - Slope and equations of lines |
1. The number of members of a religious organization can be modeled using the logistic function f(x), where xrepresents the number of years since the organization was started and f(x)represents the number of members.
The graph of f(x)is shown.
What is one range of values for which the graph is concave down?
A) (0#6)
B) (6#11)
C) (0#8)
D) (0#11)
2. The population of bison in a preserve can be modeled using the logistic function f(x), where x represents the number of years since the preserve was established and f(x) represents the population. The graph of f(x) is shown.
How does the bison population change as time progresses from year 7 to year 10?
A) The bison population decreases slower and slower.
B) The bison population decreases faster and faster.
C) The bison population increases faster and faster.
D) The bison population increases slower and slower.
3. The number of people auditioning for a game show is expected to be 4 times the number of people who auditioned last year. The function A(t) can be used to model the situation, where t represents the number of people who auditioned last year and A represents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 330 people auditioned last year?
A) A(82)=330
B) A(330)=82
C) A(1,320)=330
D) A(330)=1,320
4. Consider the graph of x(t) shown. The function represents the number of users, x, watching a live video t hours after 9:00 a.m.
Which interval represents a range of values for which the number of users is decreasing slower and slower?
A) t=11.6 to t=11.8
B) t=0.3 to t=0.8
C) t=4.9 to t=9.2
D) t=6.8 to t=7.4
5. Consider the function
w(t)=0.03t^4-0.81t^3+7.55t^2-26.62t+44
which represents the number of workers, w, at a job site thours after 6:00 a.m.
What is the difference between w(4)and w(8)?
A) Approximately 8 hours
B) Approximately 4 hours
C) Approximately 8 workers
D) Approximately 4 workers
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: D | Question # 3 Answer: D | Question # 4 Answer: D | Question # 5 Answer: C |
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